What two numbers multiply to -506 and add up to -505?

Here we answer the question: "What two numbers multiply to -506 and add up to -505?"

The answer to your question is:

-506 and 1

Below we illustrate and prove that -506 and 1 multiply to -506 and add up to -505:

-506 × 1 = -506
-506 + 1 = -505

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² - 505x - 506 = 0

If so, the solution to factor the quadratic equation above is:

(x - 506 ) (x + 1)

To summarize, since -506 and 1 multiply to -506 and add up -505, you know that the following is true:

x² - 505x - 506 = (x - 506 ) (x + 1)

Multiply To One Number and Add Up To Another
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